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borishaifa [10]
3 years ago
14

Write an expression for each verbal expression 1. the sum of one-third of a number and 27

Mathematics
1 answer:
Ostrovityanka [42]3 years ago
8 0

Answer:

<h2>Below</h2>

Step-by-step explanation: Let the unknown no be x

1.

\frac{1}{3}\times x +27\\\\\frac{1}{3} x +27

2.

x^2 \times 4\\\\= 4x^2

3. The sum of the product and of 5 and a cubed number and 9

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Helppp
yulyashka [42]

Answer:

           

Step-by-step explanation:

4 0
2 years ago
Read 2 more answers
What are the steps to solve for: 1/5(x+5)=1/4(x-3)+1
andrew11 [14]
Step 1. Simplify \frac{1}{5} (x+5) to \frac{x+5}{5}

\frac{x+5}{5} = \frac{1}{4} (x-3)+1

Step 2. Simplify \frac{x+5}{5} to 1+ \frac{x}{5}

1+ \frac{x}{5} = \frac{1}{4} (x-3)+1

Step 3. Simplify \frac{1}{4} (x-3) to \frac{x-3}{4}

1+ \frac{x}{5} = \frac{x-3}{4} +1

Step 4. Cancel 1 on both sides

\frac{x}{5} = \frac{x-3}{4}

Step 5. Multiply both sides by 20 (the LCM of 5,4)

4x=5(x-3)

Step 6. Expand

4x=5x-15

Step 7. Subtract 5x from both sides

4x-5x=-15

Step 8. Simplify 4x-5x to -x

-x=-15

Step 9. Multiply both sides by -1

x=15

Done! :) Hope this helps! :)








3 0
3 years ago
Simplify. 9y - 8y - y =
olga nikolaevna [1]
9y-8y-y= 9-8-1 = 0y =0

subtract all like terms
8 0
3 years ago
Izzie recently took a math test where each correct answer (a) on the main part of the test was worth 8.3 points. She also correc
Temka [501]

Answer:

12 correct answers

Step-by-step explanation:

Since in the main part she scores 8.3 points for each question she answers correctly, we can assume that the number of questions she answers correctly=a

Therefor, the total number of points she achieved in the math test in the main part alone can be expressed as:

Total score(main part)=8.3×a=8.3a points

She also solved a bonus question worth=11 points

Consider expression 1 below

The total score in the whole test=Total score in the main part+Bonus points, where;

Total score in the whole test=110.6 points

Total score in the main part=8.3a points

Bonus points=11 points

Substituting the values in expression 1:

8.3a+11=110.6

8.3a=110.6-11

8.3a/8.3=99.6/8.3

a=12

Number of correct answers in the main part=a=12

4 0
3 years ago
A hairdryer transfers 36,000J in one minute, what is the power rating of the hairdryer?
Verdich [7]

Answer:

1. 600 watts

2. 35640 J

3. 55%

4. 20 J

5. The cost of running the fire is 8p.

Step-by-step explanation:

1. Energy = 36 000 J , t = 1 minute = 60 seconds

Power = \frac{energy}{time}

           = \frac{36000}{60}

          = 600 watts

2. Power = \frac{work done}{time}

⇒ work done = Power × time

                      = 99 × 360

                      = 35640 J

3. Efficiency = (Output / Input) × 100

                    = \frac{55}{100} × 100

                    = 55%

4. Work done = Force × distance

                      = 5 × 4

                      = 20 J

5. Given that 1 KWh cost 2p, Power = 4 KW and time = 4 hours.

  Power = \frac{energy}{time}

Energy = Power × time

            = 4 × 4

           = 16 KWh

The cost of running the fire = \frac{16}{2}

                = 8p

3 0
3 years ago
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